Applied Principles of Mathematical Analysis by Casper Geller

Mathematical analysis is a domain of mathematics that deals with limits and other related theories such as, measure, infinite series, differentiation, integration, and analytical functions. All of these theories are often studied in the context of real and complex numbers along with their functions. The main branches of mathematical analysis include real analysis, complex analysis and functional analysis. The fundamental concepts of this field are metric spaces and sequences and limits. Mathematical analysis has evolved from calculus that includes elementary techniques and concepts of analysis. It can be applied to any space of those mathematical objects that have a topological space or a metric space. This book contains some path-breaking studies in the field of mathematical analysis. It studies and analyzes various principles of mathematical analysis. It is appropriate for students seeking detailed information in this area as well as for experts.